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SUMMARY:Erik Tonni (SISSA and INFN Sezione di Trieste)
DTSTART:20221122T203000Z
DTEND:20221122T213000Z
DTSTAMP:20260423T005701Z
UID:HET/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HET/42/">Ent
 anglement entropies for Lifshitz fermionic fields at finite density</a>\nb
 y Erik Tonni (SISSA and INFN Sezione di Trieste) as part of Purdue HET\n\n
 \nAbstract\nThe entanglement entropies of an interval for the free fermion
 ic spinless Schroedinger field theory at finite density and zero temperatu
 re are investigated. The interval is either on the line or at the beginnin
 g of the half line\, when either Neumann or Dirichlet boundary conditions 
 are imposed at the origin. We show that the entanglement entropies are fin
 ite functions of a dimensionless parameter proportional to the area of the
  rectangular region in the phase space identified by the Fermi momentum an
 d the length of the interval. \nFor the interval on the line\, the entangl
 ement entropy is a monotonically increasing function. Instead\, for the in
 terval on the half line\, it displays an oscillatory behaviour related to 
 the Friedel oscillations of the mean particle density at the entangling po
 int. \nBy employing the properties of the prolate spheroidal wave function
 s or the expansions of the tau functions of the kernels occurring in the s
 pectral problems\, determined by the two point function\, we find analytic
  expressions for the expansions of the entanglement entropies in the asymp
 totic regimes of small and large area of the rectangular phase space regio
 n. Extending our analysis to a class of free fermionic Lifshitz models\, w
 e find that the parity of the Lifshitz exponent determines the properties 
 of the bipartite entanglement.\n
LOCATION:https://researchseminars.org/talk/HET/42/
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